Question

Struggling please help. Thank you.

Answer 1

Explanation:

m∠ABD= m∠CBD (as line BD bisects m∠ABC)

m∠ABD=(3x+6)°

m∠CBD=(7x-3)°

To find x;

3x+6=7x-18

18+6=7x-3x

24=4x

∴x=24/4=6

Thus m∠ABD=m∠CBD= (3x+6)°=3(6)+6=18+6=24°

m∠ABC=m∠ABD+m∠CBD=24°+24°=48°